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Finding the Third Proportional to 74,364 and 104,013

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Solution

The third proportional to 74,364 and 104,013 is: 145,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,364 : 104,013 = 104,013 : x
  2. Step 2: Convert to fraction form
    74,364/104,013 = 104,013/x
  3. Step 3: Cross multiply
    74,364x = 104,013 × 104,013
  4. Step 4: Simplify right side
    74,364x = 10,818,704,169
  5. Step 5: Solve for x
    x = 10,818,704,169/74,364
  6. Step 6: Final answer
    x = 145,483.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.